A subsystems approach for parameter estimation of ODE models of hybrid systems

Electronic Proceedings in Theoretical Computer Science, EPTCS

Volumn 92, Issue , 2012, Pages 30-41

  Georgoulas, Anastasis ^a   Clark, Allan ^a   Ocone, Andrea ^a   Gilmore, Stephen ^a   Sanguinetti, Guido ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION;

DATA MEASUREMENTS; PARAMETERS ESTIMATION; PARAMETERS IDENTIFICATION; SPLITTINGS; SYSTEM DESCRIPTION;

HYBRID SYSTEMS;

EID: 84875613027     PISSN: 20752180     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.4204/EPTCS.92.3     Document Type: Conference Paper

References (14)

1. DREAM6 Estimation of Model Parameters Challenge - The Dream Project. http://www.the-dream-project.org/challenges/dream6-estimation-model-parameters-challenge.
2. Luca Bortolussi (2011): Hybrid Limits of Continuous Time Markov Chains. In: Quantitative Evaluation of Systems (QEST), 2011 Eighth International Conference on, pp. 3 -12, doi:10.1109/QEST.2011.10.
3. Adrian W. Bowman & Adelchi Azzalini: Bayesian Data Analysis. Oxford University Press.
4. Clive G. Bowsher (2011): Automated analysis of information processing, kinetic independence and modular architecture in biochemical networks using MIDIA 27(4), pp. 584-586. doi:10.1093/bioinformatics/btq694.
5. Kamil Erguler & Michael P. H. Stumpf (2011): Practical limits for reverse engineering of dynamical systems: a statistical analysis of sensitivity and parameter inferability in systems biology models. Mol. BioSyst. 7, pp. 1593-1602, doi:10.1039/C0MB00107D.
6. Andrew Gelman, Christian Robert, Nicolas Chopin & Judith Rousseau (1995): Bayesian Data Analysis.
7. Ryan N Gutenkunst, Joshua J Waterfall, Fergal P Casey, Kevin S Brown, Christopher R Myers & James P Sethna (2007): Universally Sloppy Parameter Sensitivities in Systems Biology Models. PLoS Comput Biol 3(10), pp. 1871-1878, doi:10.1371/journal.pcbi.0030189.
8. Stefan Hoops, Sven Sahle, Ralph Gauges, Christine Lee, Jrgen Pahle, Natalia Simus, Mudita Singhal, Liang Xu, Pedro Mendes & Ursula Kummer (2006): COPASIa COmplex PAthway SImulator. Bioinformatics 22(24), pp. 3067-3074, doi:10.1093/bioinformatics/btl485.
9. Hans-Michael Kaltenbach & Jorg Stelling (2012): Modular Analysis of Biological Networks. In Igor I. Goryanin & Andrew B. Goryachev, editors: Advances in Systems Biology, Advances in Experimental Medicine and Biology 736, Springer New York, pp. 3-17, doi:10.1007/978-1-4419-7210-1 1.
10. S. Kirkpatrick, C. D. Gelatt & M. P. Vecchi (1983): Optimization by Simulated Annealing. Science 220(4598), pp. 671-680, doi:10.1126/science.220.4598.671.
11. Carl Edward Rasmussen & Christopher K. I. Williams: Gaussian Processes for Machine Learning. MIT Press.
12. Philipp Thomas, Arthur Straube & Ramon Grima (2012): The slow-scale linear noise approximation: an accurate, reduced stochastic description of biochemical networks under timescale separation conditions. BMC Systems Biology 6(1), p. 39, doi:10.1186/1752-0509-6-39.
13. N. G. Van Kampen (2007): Stochastic Processes in Physics and Chemistry. Elsevier Science & Technology.
14. Vladislav Vyshemirsky & Mark A. Girolami (2008): Bayesian ranking of biochemical system models. Bioinformatics 24(6), pp. 833-839, doi:10.1093/bioinformatics/btm607.